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Practically all neutrinos pass through the body without interacting at all, so the weapon would be profoundly psychologically disturbing: as far as the weapon is concerned, you might as well not exist.
Equally, as far as you are concerned, the "weapon" might as well not exist.
If used as a lethal or non lethal weapon?
I saw a calculation once that if there was a "close" supernova (say, 10 light-years away), there would be enough neutrinos captured by your body to cause DNA mutations which would (eventually) kill you with cancer.